That wants to paint four identical walls of a house using 25.6 litres of te buys paint in 5 litre containers, at M400 per container.
(a) Calculate
(i) the number of 5 litre containers needed to paint one wall,
[tex]$\frac{25.61}{51}$[/tex]
5.12
Answer (2)
To paint one wall, 6.4 litres of paint is needed. Since each container holds 5 litres, you'll need 1.28 containers, which rounds up to 2 containers. Thus, 2 containers are necessary to paint one wall.
;
Calculate the amount of paint needed for one wall: 25.6 e wl in e l i t res /4 = 6.4 e wl in e l i t res .
Calculate the number of 5-litre containers needed for one wall: 6.4 e wl in e l i t res /5 e wl in e l i t res = 1.28 .
Round up to the nearest whole number since you can't buy part of a container: 1.28 e wl in ero u n d e d e wl in e u p e wl in e t oe wl in e 2 .
The number of 5 litre containers needed to paint one wall is 2 .
Explanation
Problem Analysis We need to determine how many 5-litre containers are required to paint one wall, given that four identical walls need to be painted and a total of 25.6 litres of paint is available.
Paint per Wall First, we calculate the amount of paint required for one wall. Since there are four identical walls and 25.6 litres of paint are used for all four walls, we divide the total amount of paint by the number of walls: P ain t ee d e d e wl in e p ere wl in e w a ll = e wl in e T o t a l e wl in e p ain t / e wl in e N u mb ere wl in eo f e wl in e w a ll s P ain t e wl in e n ee d e d e wl in e p ere wl in e w a ll = e wl in e 25.6 e wl in e l i t res /4 = 6.4 e wl in e l i t res So, each wall requires 6.4 litres of paint.
Containers Needed Next, we determine how many 5-litre containers are needed to paint one wall. We divide the amount of paint needed per wall by the volume of one container: C o n t ain erse wl in e n ee d e d e wl in e p ere wl in e w a ll = e wl in e P ain t e wl in e n ee d e d e wl in e p ere wl in e w a ll / e wl in e V o l u m ee wl in eo f e wl in eo n ee wl in eco n t ain er C o n t ain erse wl in e n ee d e d e wl in e p ere wl in e w a ll = e wl in e 6.4 e wl in e l i t res /5 e wl in e l i t res = 1.28 Since we cannot buy a fraction of a container, we need to round up to the nearest whole number. Therefore, we need 2 containers to paint one wall.
Final Answer Therefore, the number of 5 litre containers needed to paint one wall is 2.
Examples
Imagine you're planning a home renovation project where you need to paint multiple rooms. This problem helps you determine how many paint containers you need to buy for each room, ensuring you have enough paint without overspending. Understanding how to calculate paint requirements and container quantities is essential for budgeting and efficient resource management in real-world painting projects.
